Question

solve x2-2√5x +3 by middle term​

Answer 1

Ans

Step-by-step explanation:

x2-2√5x +3

= x² -{(√5 +√2) + (√5 - √2)}x + (√5 - √2)(√5 + √2)

= x² - (√5 + √2)x - (√5 -√2)x + (√5 + √2)(√5 - √2)

= x[x - √5 - √2] - (√5 - √2)[x - √5 - √2]

= [x - √5 - √2][x - √5 + √2]

Hence, x = √5 ± √2 are the zeros of given expression